Investigation of non-minimal beyond standart model theories in the light of current experimental data

The Minimal Supersymmetric Standard Model (MSSM) is one of the most extensively studied theories beyond the Standard Model (SM). It was specifically proposed to address the shortcomings of the SM, particularly at high energies. While MSSM has its strengths, it also has some controversial and debatable aspects. These arise from both theoretical and experimental challenges. One such challenge is the μ problem, which is one of the fundamental issues of MSSM and stems from an unnatural condition regarding the magnitude of the μ parameter. To resolve this inconsistency, additional symmetries are proposed to prevent the μ parameter from taking on a large value at the Planck scale. These extensions introduce additional symmetries, gauge singlet fields or interactions to MSSM, enabling the μ parameter to emerge naturally at appropriate scales. Many models expand this symmetry by adding a new gauge symmetry to the electroweak symmetry. One such model involves adding an additional U(1)′ symmetry to the existing gauge group of MSSM. This is achieved by introducing a scalar singlet field responsible for the breaking of the U(1)′ symmetry and a neutral gauge boson corresponding to the U(1)′ symmetry. The Minimal U(1)′ model provides an elegant mechanism to solve the μ problem. In this model, the vacuum expectation value of the singlet field dynamically generates the μ term in MSSM and serves as the source of the mass for the Z′ boson. The secluded U(1)′ Model includes multiple singlet fields to alleviate the tension between having the μ term naturally at the electroweak scale and producing a sufficiently heavy Z′ boson. In this study, the secluded U(1)′ Model is examined within the framework of current experimental data.